Consider the differential equation: 1. y"-y%D What is the general solution? y= [a + In(1 +te *)]e* + [c, -e* + In(1 + e)]e2* In|sec 3xl y3 4 cos 3x + c, sin 3x cos 3x +tan 3x %3D 3. y= ce* + c2xe* + e2* Oy= (4- dx)e*+(c2+ S dx) e*
Consider the differential equation: 1. y"-y%D What is the general solution? y= [a + In(1 +te *)]e* + [c, -e* + In(1 + e)]e2* In|sec 3xl y3 4 cos 3x + c, sin 3x cos 3x +tan 3x %3D 3. y= ce* + c2xe* + e2* Oy= (4- dx)e*+(c2+ S dx) e*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find Yp and general solution
![Consider the differential equation:
1.
y"-y=
What is the general solution?
y= [a + In(1 +te *)]e* + [c, -e* + In(1 + e)]e2*
In sec 3x
y3 4 cos 3x + C, sin 3x
cos 3x +tan 3x
%3D
3.
y= ce* + c2xe* + e2x
Oy=(q-dx)e
(c2 +.
2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1dfd002-728f-4d5c-ab31-e727edfed629%2F58b50ca8-9aa0-44d9-946b-e84ed758e7cb%2F77ci9kq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation:
1.
y"-y=
What is the general solution?
y= [a + In(1 +te *)]e* + [c, -e* + In(1 + e)]e2*
In sec 3x
y3 4 cos 3x + C, sin 3x
cos 3x +tan 3x
%3D
3.
y= ce* + c2xe* + e2x
Oy=(q-dx)e
(c2 +.
2x
![Consider the differential equation:
1.
y"-y=;
Yp
What is the particular solution
Yp =
Yp = e* In(1 + e*) +e2* [In(1 +e*) – e*]
%3D
Yp = -e-*
S-dx +e* S
2x
2x
Yp](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1dfd002-728f-4d5c-ab31-e727edfed629%2F58b50ca8-9aa0-44d9-946b-e84ed758e7cb%2F37c0kcq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation:
1.
y"-y=;
Yp
What is the particular solution
Yp =
Yp = e* In(1 + e*) +e2* [In(1 +e*) – e*]
%3D
Yp = -e-*
S-dx +e* S
2x
2x
Yp
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